First Derivative and Slope Behaviour
If:
$$f''(x)>0$$
then $$f'(x)$$ is increasing.
If:
$$f''(x)<0$$
then $$f'(x)$$ is decreasing.
Usage
- Used to study the variation of the slope and hence the shape of the graph.
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CAT Formulas
Applications of Derivatives
First Derivative and Slope Behaviour
First Derivative and Slope Behaviour
If:
$$f''(x)>0$$
then $$f'(x)$$ is increasing.
If:
$$f''(x)<0$$
then $$f'(x)$$ is decreasing.
Usage
- Used to study the variation of the slope and hence the shape of the graph.
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